Ponencia
An example in combinatorial cohomology
Autor/es | González Díaz, Rocío
Real Jurado, Pedro |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2001 |
Fecha de depósito | 2021-09-16 |
Publicado en |
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ISBN/ISSN | 84-95301-52-0 |
Resumen | Steenrod cohomology operations are algebraic tools for distinguishing non–homeomorphic
topological spaces. In this paper, starting off from the general method developed
in [4] for Steenrod squares and Steenrod reduced ... Steenrod cohomology operations are algebraic tools for distinguishing non–homeomorphic topological spaces. In this paper, starting off from the general method developed in [4] for Steenrod squares and Steenrod reduced powers, we present an explicit combinatorial formulation for the Steenrod reduced power Pp 1 : Hq(X;Fp) ! Hqp−1(X;Fp), at cocycle level, where p is an odd prime, q a non–negative integer, X a simplicial set and Fp the finite field with p elements. We design an algorithm for computing Pp 1 on the cohomology of the classifying space of Zp and we generalize this process to any simplicial set at cohomology level. |
Cita | González Díaz, R. y Real Jurado, P. (2001). An example in combinatorial cohomology. En EACA 2001: 7º Encuentro de Álgebra Computacional y Aplicaciones (172-176), Ezcaray, La Rioja: Universidad de La Rioja. |
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